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1 year ago

Find h if V = 30.45 ft3, l = 6.3 ft, and w = 2.5 ft.

Mathematics

1 answer:

jok3333 [9.3K]1 year ago

4 0

The height (h) of the rectangular prism is: 1.9 feet.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).

Given the following parameters:

Volume of the rectangular prism = 30.45 ft^3,

Length (l) = 6.3 ft,

Width (w) = 2.5 ft.

Height of the rectangular prism (h) = ?

Plug in the values

(6.3)(2.5)(h) = 30.45

15.75h = 30.45

15.75h/15.75 = 30.45/15.75

h ≈ 1.9 ft

Learn more about volume of rectangular prism on:

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A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an

Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a) 10% of all adult Americans support the changes

Here, $np>5\ and\ n(1-p)>5$

And , $p=0.10$

So, consider the equality, to find the value of 'n'.

$np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50$

So, there are $50-35=15$ more adult Americans needed.

(b) 15% of all adult Americans supports the changes

Here, $p=0.15$

So, again we get that

$np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34$

So, there are $35-34=1$ more adult Americans needed.

Hence, a) 15, b) 1.

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3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Ksju [112]

Answer:

3.162 units

Step-by-step explanation:

First identify the points that undergo transformation

You have;

A = (0,0) and B =(1,3)

The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.

<u>Finding coordinates of the image points A' and B' </u>

A'= (0+2,0+1) = (2,1)

B'=(1+2, 3+1)=(3,4)

<u>Finding the distance A'B'</u>

The formula for distance d is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where

x₁=2

x₂=3

y₁=1

y₂=4

d=distance between two points

Applying the formula

$d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162$

The distance A'B' is √10 =3.162 units

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3 years ago

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The blueprint for a new swimming pool uses the scale 3/4

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Answer:

3 in wide by 4.5 in long.

Step-by-step explanation:

3/4=0.75

I divided the given dimensions by two, so I could multiply .75 by the sets of twos instead of dividing 3/4 by two and multiplying that by 12 and 8.

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3 years ago

Which expression has a positive quotient?

svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: $\frac{-a}{-b}=\frac{a}{b}$ and $\frac{-a}{b}=\frac{-a}{b}$

We will use these rules

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The quotient is positive.

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The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

$\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}$

The quotient is negative.

4) Negative 6 divided by Five-thirds

$\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}$

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

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3 years ago

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3 years ago

Find h if V = 30.45 ft3, l = 6.3 ft, and w = 2.5 ft.​

Find h if V = 30.45 ft3, l = 6.3 ft, and w = 2.5 ft.